Question 329241
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Fortunately for you right now and for all of us at one time or another, violating the Laws of Exponents is not a criminal offense.  If it were, I'm afraid your penance would be long and severe.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ a^m\,\cdot\,a^n\ =\ a^{m\,+\,n}]


You multiplied where you should have added.


Perhaps you were thinking of this situation:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(a^m\right)^n\ =\ a^{mn}]


When raising a power to a power -- <i>then</i> you multiply the exponents.


For your problem:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3^{\frac{3}{4}}\ \cdot\ 3^{\frac{7}{8}}\ =\ 3^{\frac{3}{4}\ +\ \frac{7}{8}}\ =\ 3^{\frac{13}{8}]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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